Answer:
7x+72xy
Step-by-step explanation:
7x+8x(9y)=7x+72xy
cheese balll
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expand and simplify 3(x+3) - 2(x+2)
Step-by-step explanation:
3(x+3) - 2(x+2) =
3x + 9 - 2x - 4 =
x + 5
always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :
++ = +
+- = -
-+ = -
-- = +
can someone please help
A home has a rectangular kitchen. If listed as ordered pairs, the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8). What is the area of the kitchen in square feet?
20 ft2
46 ft2
132 ft2
144 ft2
If the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8), the area of the kitchen is 132 square feet. So, the correct option is C.
To find the area of the rectangular kitchen, we need to use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width.
From the given ordered pairs, we can determine the length and width of the rectangle. The length is the distance between the points (8,4) and (-3,4), which is 8 - (-3) = 11 feet. The width is the distance between the points (8,4) and (8,-8), which is 4 - (-8) = 12 feet.
Now that we know the length and width, we can find the area by multiplying them together:
A = L x W = 11 x 12 = 132 square feet
Therefore, the correct answer is C.
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Answer C. 132 fT2
Step-by-step explanation:
please help, thank you!
Answer:
Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.
HELP!! solve each logarithmic equation for the value of the variable. Be sure to check for extraneous solutions
\(D:\dfrac{4000}{x} > 0 \wedge x\not =0\\D:x > 0\\\\\\\log\left(\dfrac{4000}{x}\right)=3\\\e^3=\dfrac{4000}{x}\\\\x=\dfrac{4000}{e^3}\)
Insert 2 rational numbers between -1/3 and -1/2
Answer:
-11/24 and -4/9
Step-by-step explanation:
A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.
Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.
Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6
Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18
The first number placed is -1/3 - 1/18 = -11/24
The second number is -11/24 - 1/18 = -4/9
find polar forms for zw, z/w, and 1/z by first putting z and w into polar form.
zw in polar form is zw = 24√2(cos(75°) + i*sin(75°)).
z/w in polar form is z/w = (4√2/3)(cos(-15°) + i*sin(-15°)).
1/z in polar form is 1/z = (1/8)(cos(-30°) + i*sin(-30°)).
Now that we have z and w in polar form, we can find the polar forms for the products and reciprocal of these complex numbers.
Product (zw): To multiply two complex numbers in polar form, we multiply their magnitudes and add their arguments. Applying this to z and w, we have: zw = 8(cos(30°) + isin(30°)) * 3√2(cos(45°) + isin(45°))
Multiplying the magnitudes: |zw| = 8 * 3√2 = 24√2
Adding the arguments: θzw = 30° + 45° = 75 degrees
Therefore, zw in polar form is zw = 24√2(cos(75°) + i*sin(75°)).
Division (z/w): To divide two complex numbers in polar form, we divide their magnitudes and subtract their arguments. Applying this to z and w, we have: z/w = 8(cos(30°) + isin(30°)) / 3√2(cos(45°) + isin(45°))
Dividing the magnitudes: |z/w| = 8 / (3√2) = 8 / 3√2 = 8 / (3 * √(2)) = (8 / 3) * (1 / √(2)) = (8 / 3) * (√(2) / 2) = (4√2) / 3
Subtracting the arguments: θz/w = 30° - 45° = -15 degrees
Thus, z/w in polar form is z/w = (4√2/3)(cos(-15°) + i*sin(-15°)).
Reciprocal (1/z): To find the reciprocal of a complex number in polar form, we take the reciprocal of its magnitude and negate its argument. Applying this to z, we have: 1/z = 1 / [8(cos(30°) + i*sin(30°))]
Taking the reciprocal of the magnitude: |1/z| = 1 / 8 = 1/8
Negating the argument: θ1/z = -30°
Hence the 1/z in polar form is 1/z = (1/8)(cos(-30°) + i*sin(-30°)).
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Very easy question - please answer fast
Answer:
d or c
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
Since the formula for grid's are y by x Y=2 X=5 put them as a fraction there you have 2/5 as I think it is
\(\bf\begin{matrix}\space\space&8&8\\ \times&2&4\end{matrix}\)
\( \huge \color{red}{ ꧁\mathrm{Answer}}꧂\)
The answer is 2112
The sign on a clearance rack tells customers the price is 1/2 the lowest marked price. If an item is marked $9.98, how much will the customer have to pay?
Answer:
4.99
Step-by-step explanation:
9.98 divide by 2
Across all T-accounts, the sum of debits must ALWAYS equal the sum of credits.
A. False
B. Neither true nor false
C. True
D. Both true and false
C: True. The accounting equation, which is the foundation of all accounting principles, is based on the concept that for every debit entry, there must be an equal credit entry. This principle is reflected in T-accounts, which are used to track the financial transactions of a business.
T-accounts are a visual representation of the accounting equation, where debits are recorded on the left side of the T-account and credits are recorded on the right side. The sum of the debits and credits for each account is calculated and displayed at the bottom of the T-account.
If the sum of debits is not equal to the sum of credits, it indicates that an error has occurred in the recording of financial transactions. This is known as an unbalanced entry, and it must be corrected before the financial statements can be prepared accurately.
Therefore, it is always true that across all T-accounts, the sum of debits must equal the sum of credits. This principle ensures that the accounting records are accurate and reliable, providing stakeholders with a clear and complete picture of a company's financial position.
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What number must multiply each side of the equation 2/5x=10 to produce the equivalent equation x = 25?
Responses
15, , 1 5 ,
52, , 5 2 ,
4
4
5
The number that must be multiplied by each side of the equation 2/5x=10 to produce the equivalent equation is x = 4.
How to illustrate the equation?An equation is a statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It should be noted that equivalent equations are the same.
Algebraic equations with equivalent solutions or roots are called equivalent equations. An equivalent equation is one that is created by adding or subtracting the same quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero number. If two systems of equations have the same solution, they are equivalent.
The equation is illustrated as:
2/5 = x/10
Cross multiply
5x = 2 × 10
5x = 20
Divide
x = 20 / 5
x = 4
The value or x is 4.
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Determine the circumference of the earth if its radius is 6380 km. (approximate the answer to the nearest kilometer and do not write commas or units)
The circumference of the Earth with a radius of 6380 km is approximately 40,230 kilometers.
The circumference of a circle is calculated using the formula C = 2πr, where C represents the circumference and r is the radius of the circle. In this case, the radius of the Earth is given as 6380 km. Plugging this value into the formula, we have C = 2π(6380) = 40,230 km (approximately).
To explain further, the formula for the circumference of a circle states that the circumference is equal to twice the product of π (pi) and the radius of the circle. Pi is a mathematical constant approximately equal to 3.14159. By substituting the given radius value into the formula and performing the calculation, we determine that the Earth's circumference is approximately 40,230 kilometers. This means that if you were to travel along the equator of the Earth, you would cover a distance of approximately 40,230 kilometers.
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PLZ SOMEONE HELP ME
A hot chocolate recipe calls for three teaspoons of cocoa for every cup of milk. How many teaspoons of cocoa are needed for a batch that uses three cups of milk
THERE IS A PHOTO OF THE PROBLEM AS WELL PLEASE HELP ASAP!!
Answer:
9 teaspoons of cocoa
Step-by-step explanation:
3*3=9
lim x→1 5x x − 1 − 5 ln(x)
The limit of the given expression as x approaches 1 is 0.
To evaluate the limit of the given expression as x approaches 1, we can use L'Hopital's rule, which states that if the limit of a quotient of functions is of the form 0/0 or ±∞/±∞, then the limit can be found by taking the derivative of the numerator and denominator and evaluating the new quotient at the same point.
Using L'Hopital's rule on the given expression, we get:
lim x→1 [5x/(x-1) - 5/x] = lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)]
Plugging in x = 1 directly to this expression, we get:
lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = (5 - 10 + 5)/(1 - 1) = 0/0
Since the limit is still in an indeterminate form, we can apply L'Hopital's rule once again:
lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = lim x→1 [(10x - 10)/(2x - 1)] = 0
Therefore, the limit of the given expression as x approaches 1 is 0.
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medicine a treats symptom y. 450 subjects with symptom y volunteered to take medicine a and 100 were treated effectively. in order to estimate with 95% confidence the medicine's efficacy, we should use:
To estimate with 95% confidence the medicine's efficacy, we should use Propzint.
The percentage of participants in the sample who received effective treatment from Medicine A can be used to determine the effectiveness of Medicine A in treating symptom Y, that is the proportion of subjects who had symptom Y and were treated effectively by Medicine A. Using Excel's "propzint" tool or a similar statistical program, we can determine a 95% confidence interval for this percentage.
Based on the sample size, the number of successes, in this case, the number of subjects successfully treated by Medicine A, and the required level of confidence, the propzint function determines the confidence interval for a proportion. The function will calculate the lower and upper bounds of the 95% confidence interval for the proportion of subjects treated effectively by Medicine A. Based on the sample data, this confidence interval will give a range of values within which the true population proportion is likely to fall.
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Which of the following is the correct factorization of this trinomial?
4x^2-0x-25
Answer:
x^2 -5
Step-by-step explanation:
divide evrything by 4 and ignore the -0x it just equals 0
the office supply vendor that delivers printer ink to companies charges a subscription fee of 230 for its services plus x dollars for each cartoon of ink. if a company paid 1364 for 18 cartoons of ink, including the subscription fee, what is the value of x?
The value of x, which represents the cost of each carton of ink is $63.
Let's break down the given information:
The subscription fee for the printer ink service is $230.
The company paid a total of $1364, which includes the subscription fee.
The company purchased 18 cartons of ink.
To find the value of x, we need to determine the cost of the ink cartridges alone, excluding the subscription fee. We can subtract the subscription fee from the total payment to get the cost of the ink:
Total payment - Subscription fee = Cost of ink cartridges
$1364 - $230 = $1134
Now, we divide the cost of the ink cartridges by the number of cartridges to find the cost per cartridge:
Cost of ink cartridges / Number of cartridges = Cost per cartridge
$1134 / 18 = $63
Therefore, the value of x, which represents the cost of each carton of ink, is $63.
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Is there an ordered pair that is a solution to BOTH of
these linear equations?
y= 3x - 1
2x + 4y= 24
Answer:
y = -1/2 x + 6
Step-by-step explanation:
2x + 4y = 24
4y = -2x + 24
divide each expression by 4
y = - 1/2x + 6
i really need help, please
here, base(b)=7, perpendicular(p)=8 and hypotenuse(h)=?(c)
by using pythagoras theorem.
h^2=p^2+b^2
or,h^2=8^2+7^2
or,h^2=113
or,h=
\( \sqrt{113} \)
PLEASEEEEE ANSWER HURRY!!!!!!
Angle FPJ and angle JPI are congruent. Find the measure of major arc GHJ.
Using the theorem of angle around a point, the value of GHJ is 237 degrees
What is angle on a pointWhen we talk about the "angle around a point," we are usually referring to the total angle formed by two or more lines or line segments that intersect at a common point, known as the vertex.
Specifically, the "angle around a point" is equal to 360 degrees or 2π radians. This is because, when two or more lines intersect at a point, they form multiple angles, and the sum of these angles is always equal to 360 degrees or 2π radians.
Since we know that FPJ and JPI are congruent, this implies that they're equal to one another. We can find the value by setting them as x
x + x + 51 + 66 + 99 = 360
Reason: The sum of angles around a point is equal to 360 degrees
2x + 216 = 360
2x = 360 - 216
2x = 144
x = 72
The value of FPJ and JPI is 72.
The value of GHJ is is equal to 66 + 99 + 72 = 237°
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Someone please help asap
Answer:
Yes
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
Please help! Answers appreciated :)
Answer:
3
Step-by-step explanation:
I divided 12 by 4 and got 3, so i then divided 9 by 3 and got 3 :)
(If this is wrong pls correct me)
A probability experiment consists of rolling a fair 8​-sided die. Find the probability of the event below.
rolling a number greater than 6
The probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.
The die has 8 equally likely possible outcomes, which are the numbers 1 through 8. The probability of rolling a number greater than 6 is the same as the probability of rolling a 7 or 8.
Since each of these two outcomes is equally likely, the probability of rolling a number greater than 6 is:
P(rolling a number greater than 6) = P(rolling a 7) + P(rolling an 8)
The probability of rolling a 7 is 1/8, and the probability of rolling an 8 is also 1/8. Therefore:
P(rolling a number greater than 6) = 1/8 + 1/8 = 2/8 = 1/4
So the probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.
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The difference between the actual observed value and the predicted value (by the regression model) is called the residual
True False
True, the difference between the actual observed value and the predicted value (by the regression model) is called the residual.
Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features"). In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.
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write the mixed expression as a rational expression: 2+9/g
mixed expression as a rational expression will be \(\frac{2g+9}{g}\)
WHAT IS FRACTION ?In mathematics, a fraction is a number that is expressed as a quotient in which the numerator and denominator are divided. In a simple fraction, both are integers. A complicated fraction contains a fraction in either the numerator or denominator. Any fraction that is right has a numerator that is less than its denominator.
CALCULATIONto convert mixed fraction into rational fraction
we multiply denominator with whole number and add it with numerator and the result of this gives numerator . and the denominator is same as mixed fraction .
so for the given expression ,
2 * g + 9 is numerator
and g is denominator .
= \(\frac{2g+9}{g}\)
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100 gallons of water at $1.19 per gallon
Answer:
119
Step-by-step explanation:
just times the numbers
Answer:
100 gallons of water would cost $119
Step-by-step explanation:
Multiply 100 by 1.19 and you get 119.
The cost of 100 gallons of water would be $119.
Consider the random variable X having pdf fX (x) = .6 (x^2/β), for 0 < x ≤1. (a) Find the value of β that makes fX (x) a valid pdf. (b) Find the cdf for the random variable X. (c) Find the probability that the random variable X is greater than 2.
(a) The value of β that makes fX(x) a valid pdf is β = 0.2.
(b) The cdf for the random variable X is FX(x) = (3\(x^3\)/10), for 0 < x ≤ 1.
(c) The probability that the random variable P(X > 2) = 0, since the range of possible values for X is from 0 to 1.
How to find the value of β?To find the value of β that makes fX(x) a valid pdf, we need to ensure that the area under the pdf from 0 to 1 is equal to 1.
∫0¹ fX(x) dx = ∫0¹ 0.6(x²/β) dx = 0.6/β ∫0¹ x² dx = 0.6/β [\(x^3\)/3]0¹ = 0.6/β * (1/3) = 1
Solving for β, we get:
0.6/β * (1/3) = 1
β = 0.6/3 = 0.2
Therefore, β = 0.2 makes fX(x) a valid pdf.
How to find the cdf for random variable?To find the cdf for the random variable X, we integrate the pdf from 0 to x:
FX(x) = ∫\(0^x\) fX(t) dt = ∫\(0^x\) 0.6(t²/0.2) dt = 3\(t^3\)/10|\(0^x\) = (3\(x^3\)/10) - 0
Therefore, the cdf for X is:
FX(x) = (3\(x^3\)/10), for 0 < x ≤ 1
How to find the probability?To find the probability that X is greater than 2, we need to use the fact that the probability of an event outside the sample space is 0. Since the range of possible values for X is from 0 to 1, the probability that X is greater than 2 is 0.
P(X > 2) = 0
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A right triangle has a hypotenuse with a length of 10cm. One angle of the three in this triangle is 53.1 degrees. What is the length of the side opposite this angle?Group of answer choices8.0 cm6.0 cm1.33 cm4.0 cm
The length of the side opposite the angle of 53.1 degrees in a right triangle with a hypotenuse of 10 cm is 8 cm. (A)
This can be found using trigonometry and the Pythagorean theorem. The trigonometric function sine can be used to find the ratio of the length of a side to the length of the hypotenuse given an angle in a right triangle.
In this case, the sine of the angle 53.1 degrees is the ratio of the length of the side opposite the angle to the length of the hypotenuse, which is 10 cm.
Therefore, the length of the side opposite the angle 53.1 degrees can be found by multiplying the sine of the angle by the length of the hypotenuse, which is 10 cm * sin(53.1) = 8 cm.
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Find the range for the measure of the third side of a triangle given that the measures of two sides are 13 and 27.
Based on the Triangle Inequality Theorem, the range is: 14 < third side < 40.
What is the Triangle Inequality Theorem?The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side. In other words, the length of any one side of a triangle must be less than the sum of the lengths of the other two sides.
This theorem is used to determine the possible range of lengths for the sides of a triangle and to test whether a set of given lengths can form a triangle.
So, the range for the measure of the third side of a triangle given that the measures of two sides are 13 and 27 is:
14 < third side < 40.
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